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The difference between combinational circuits is that it makes use of only logic gates and hence only dependent on the present combination of inputs at any given point of time. On the contrary, Sequential Circuits are a combination of logic gates and memory elements, so the output here depends on the present and the past inputs given to it.
- Combinational and Sequential Circuits are the two most predominant circuits used in the field of digital electronics.
- Both of these Circuits make use of Logic gates.
| Table of Content |
Key Terms: Logic gates, Sequential Circuits, Combinational circuits, Memory elements, Boolean expression, Arithmetic Progressions
Combinational Circuit vs Sequential Circuit
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The combinational and sequential circuits work to produce outputs depending upon the needs and instructions of the user. These two differ from each other mainly on the basis of components used and the output generation techniques used.
- A combinational circuit is an aggregation of only logic gates without any memory elements attached to it.
- The retrieval of data is not possible here, because of this.
- A sequential circuit comprises logic gates as well as memory elements.
- These memory elements make it possible to retrieve previous output produced and hence, the data can be easily retained.
- As there is no memory element in Combinational circuits, the output generation technique is centred only on the present input signals given to it.
- The Output produced has no connection in any way with the previous outputs generated.
- On the other hand, in sequential circuits, the presence of memory elements also plays a crucial role in shaping up the output generated.
- The output is the resultant of both, the present input provided and the data of previous outputs stored in the memory elements.
- Thus, the output produced is also influenced and impacted by the previous operations.
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What is a Combinational Circuit?
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Combinational circuits are combinations of logic gates but without any memory element in them. A typical Combinational Circuit is an integration of NAND, NOR and NOT gates. It works to produce outputs only based on the inputs given in the present moment.
Here's more on what is a Combinational Circuit
- The output produced relies on the present input given to it.
- It is time-independent. So, its performance is not influenced by clock signals in any way.
- The basic building blocks of Combinational circuits are logic gates, and these are devoid of any memory element.
- It can be operated using both, boolean and arithmetic expressions.
- The basic building blocks are NOR, NAND and NOT gates.
- Absence of feedback path between input and output.
- It is primarily used for: Arithmetic and logical functions, Data transmission, Code conversion
- It is easy to design and handle, plus the operations are carried out at very high speeds
- Some examples of Combinational circuits are: Half Adder, Half Subtractor, Full Adder, Full Subtractor
What are Sequential Circuits?
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A Sequential Circuit is typically a circuit having a combination of logic gate/ combinational circuits along with a memory element. Its performance is highly variable and is affected by both the present inputs and the previous outputs. Memory elements are devices having binary data stored within them. The state of any sequential circuit can be easily denoted by the binary data stored in its memory element. Other features of sequential circuits are listed below:
- The quality of output is an outcome of both the current input signal and the previous outputs.
- It is constituted by logic gates/ combinational circuits and the memory elements.
- It is time dependent. This means that these types of circuits follow clock cycles.
- This time Dependency gives rise to two types of sequential circuits:- Synchronous (makes use of clock pulse), Asynchronous (doesn't follow any clock pulse)
- The elementary building block is flip-flop (used to store non binary data).
- Presence of feedback path between input and output.
- At times, sequential circuits can use the feedback by utilising the previous output (current state) as control inputs for the proceeding operations.
- In sequential circuits the previous outputs are stored in the flip-flop as the current state, which can act as Control inputs for future use.
- Because of its ability to store data and information and can easily retrieve any previous data, Sequential Circuits finds applications in: Central unit of digital circuits, Also in memory building devices.
- It is hard to design, handle and maintain sequential circuits.
- The delivery of output takes a bit longer, exhibiting slow speed.
- A few examples of sequential circuits are: Flip-Flops, Registers, Counters
Difference between Combinational and Sequential Circuits
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The differences between Combinational Circuits and Sequential Circuits are tabulated below:-
| Basis of Difference | Combinational Circuit | Sequential Circuit |
|---|---|---|
| Components | Combinational circuits have only logic gates as their components. | Sequential Circuits have a sequence of logic gates along with memory elements. |
| Output Generation Technique | Output is only produced from the input signals provided at the present moment. | Output produced is the net result of both the present input signals and the previous outputs. |
| Dependency on Time | Time independent | Dependent on Time |
| Basic building Blocks | Logic gates | Flip-flops |
| Need of feedback | It does not need any feedback as its output solely depends on the inputs given and there is no role of previous outputs in the present moment. | It has a feedback pathway between the previous outputs and the present input instructions given. The outputs from the previous operations get stored as feedback and used to generate the next output. |
| Complexity | It is less complex because of the presence of only logic gates. | It is more complex in its structure making it difficult to design, handle and maintain. |
| Performance | The speed of output delivery is very high as there is no involvement of memory elements or past outputs. Just the present input as soon as processed gives the desired output. | The speed of operations in sequential circuits is comparatively slower due to the fact that it has two additional things- (a) The memory elements involved slow down the process. (b) Secondly, the previous outputs also take a bit of time in shaping up the present output. |
| Operation | It works on boolean expressions and arithmetic expressions as well. | It is mostly used where there is a need of storing data and information. |
| Applications | It is used in Multiplexer, Demultiplexer, Decoder, Encoder, Half-adder, Full- adder, Full-subtractor, Half subtractor These are used for either arithmetic or boolean operations. | Sequential Circuits are mostly used in the making of Flip-flops, Registers, Counters, etc. that are used to store data. |
Things to Remember
- Combinational circuits are combinations of logic gates but without any memory element in them.
- A typical Combinational Circuit is an integration of NAND, NOR and NOT gates, etc.
- A Sequential Circuit is typically a circuit having a combination of logic gate/ combinational circuits along with a memory element.
- Combinational circuits have only logic gates as their components.
- Combinational circuits work on boolean expressions and arithmetic expressions as well.
- Combinational circuits and Sequential Circuits are different from each other on the basis of components used and the output generation techniques used.
- Combinational circuits are less complex and high speed. Sequential Circuits on the other hand are more complex and offer a slower speed.
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Sample Questions
Ques. A combinational circuit (1 mark)
a) contain only memory elements
b) always contain memory elements
c) may sometimes contain memory elements
d) never contains memory elements
Ans. Option d
Explanation: A combinational circuit is made up of logic gates only. It does not have any memory elements at all.
Ques. The device shown here is most likely a ________ (1 mark)
The diagram is demultiplexer because it takes single input & gives many outputs
a) Comparator
b) Multiplexer
c) Inverter
d) Demultiplexer
Ans. Option d
Explanation: The given diagram is of a Demultiplexer because it is taking a single output and producing multiple outputs. A Demultiplexer is a Combinational Circuit that receives a single input and gives many outputs depending on the select lines.
Ques. ______ are an example of a combinational circuit. (1 mark)
a) Shift registers
b) Multiplexers
c) Counters
d) Flip-flops
Ans. Option b
Explanation: Multiplexers are the type of combinational circuits that only have logic gates and work to produce many outputs from a single input.
Ques. 3 bits full adder contains ________ (1 mark)
a) 3 combinational inputs
b) 4 combinational inputs
c) 6 combinational inputs
d) 8 combinational inputs
Ans. Option d
Explanation: In a full adder combinational circuit, there are 2 output bits CARRY and SUM as it has 3 input bits. Thus, 3 bits full Adder has 23 = 8 combinational circuits.
Ques. In combinational circuits, output depends on ______ (1 mark)
a) Previous output
b) Present inputs
c) Previous inputs
d) Both a & b
Ans. Option b
Explanation: A combinational circuit is the one in which the output is dependent only on the present input and not on the previous outputs.
Ques. A logic gate is an electronic circuit which (1 mark)
a) operates on boolean algebra
b) performs arithmetic and logic functions
c) allows flow of electrons only in one direction
d) Does not alternates between 0 and 1 values
Ans. Option a
Explanation: A logic gate works on the formulae and principles of Boolean algebra. It does not involve any flow of electrons.
Ques. Sequential circuit includes (1 mark)
a) delays
b) feedback
c) delays and feedback from input to output
d) delays and feedback from output to input
Ans. Option d
Explanation: A sequential circuit has delays and feedback from output to input. This is because, in producing an output for a present input, the feedback works from previous outputs to present input known as the finite state. This is why it is known as the Finite state machine.
Ques. Which constitutes the test vectors in Sequential circuits? (1 mark)
a) feedback variables
b) delay factors
c) test patterns
d) all input combinations
Ans. Option a
Explanation: The 'm' feedback variables constitute the state vector and affect the maximum number of finite states assumed by the circuit.
Ques. Which is the delay element for a clocked system? (1 mark)
a) AND gates
b) OR gates
c) Flip-flops
d) Multiplexers
Ans. Option c
Explanation: Flip- flops are the basic delay elements in clocked systems. In case of asynchronous systems, the main delay-causing factor is circuit propagation delays.
Ques. Which contributes to the necessary delay element? (1 mark)
a) flip-flops
b) circuit propagation elements
c) negative feedback path
d) shift registers
Ans. Option b
Explanation: In asynchronous systems, the main delay causing factor is circuit propagation delays, while the delays due to Flip-flops may be negligible.
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